Atkin-Lehner |
2- 3+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
12540g |
Isogeny class |
Conductor |
12540 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
14112 |
Modular degree for the optimal curve |
Δ |
-1056044563200 = -1 · 28 · 37 · 52 · 11 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11- 1 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2205,-62775] |
[a1,a2,a3,a4,a6] |
j |
-4633471246336/4125174075 |
j-invariant |
L |
2.0153208865187 |
L(r)(E,1)/r! |
Ω |
0.33588681441979 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50160cc1 37620c1 62700bd1 |
Quadratic twists by: -4 -3 5 |